On the slope inequalities for extremal curves

Autor:	Valentina Beorchia, Michela Brundu
Přispěvatelé:	Beorchia, Valentina, Brundu, Michela
Rok vydání:	2022
Předmět:	Mathematics - Algebraic Geometry Algebra and Number Theory Gonality sequence extremal curves FOS: Mathematics Geometry and Topology Primary 14H45 Secondary 14H51 14J26 Algebraic Geometry (math.AG)
Zdroj:	Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry.
ISSN:	2191-0383 0138-4821
DOI:	10.1007/s13366-022-00662-y
Popis:	The present paper concerns the question of the violation of the r-th inequality for extremal curves in the projective r-space, posed by T. Kato and G. Martens. We show that the answer is negative in many cases. The result is obtained by a detailed analysis of the geometry of extremal curves and their canonical model. As a consequence, we show that particular curves on a Hirzebruch surface do not violate the slope inequalities in a certain range. 21 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c1317a66a016a59c7c4da74a1d3044ca https://doi.org/10.1007/s13366-022-00662-y Zobrazit plný text záznamu Full text from SpringerLink